Question

Charles Austin of the controller’s office of Sandhill Corporation was given the assignment of determining the basic and diluted earnings per share values for the year ending December 31, 2018. Austin has compiled the information listed below.

1. The company is authorized to issue 7,920,000 shares of $10 par value common stock. As of December 31, 2017, 1,980,000 shares had been issued and were outstanding.

2. The per share market prices of the common stock on selected dates were as follows.

Price per Share

July 1, 2017 $20.00

January 1, 2018 21.00

April 1, 2018 25.00

July 1, 2018 11.00

August 1, 2018 10.50

November 1, 2018 9.00

December 31, 2018 10.00

3. A total of 670,800 shares of an authorized 1,236,000 shares of convertible preferred stock had been issued on July 1, 2017. The stock was issued at its par value of $25.00, and it has a cumulative dividend of $3 per share. The stock is convertible into common stock at the rate of one share of convertible preferred for one share of common. The rate of conversion is to be automatically adjusted for stock splits and stock dividends. Dividends are paid quarterly on September 30, December 31, March 31, and June 30.

4. Sandhill Corporation is subject to a 40% income tax rate.

5. The after-tax net income for the year ended December 31, 2018, was $11,780,000.

The following specific activities took place during 2018.

1. January 1—A 5% common stock dividend was issued. The dividend had been declared on December 1, 2017, to all stockholders of record on December 29, 2017.

2. April 1—A total of 436,800 shares of the $3 convertible preferred stock was converted into common stock. The company issued new common stock and retired the preferred stock. This was the only conversion of the preferred stock during 2018.

3. July 1—A 2-for-1 split of the common stock became effective on this date. The board of directors had authorized the split on June 1.

4. August 1—A total of 276,000 shares of common stock were issued to acquire a factory building.

5. November 1—A total of 22,800 shares of common stock were purchased on the open market at $9.00 per share. These shares were to be held as treasury stock and were still in the treasury as of December 31, 2018.

6. Common stock cash dividends—Cash dividends to common stockholders were declared and paid as follows. April 15—$0.30 per share October 15—$0.20 per share

7. Preferred stock cash dividends—Cash dividends to preferred stockholders were declared and paid as scheduled.

(a) Determine the number of shares used to compute basic earnings per share for the year ended December 31, 2018. (Round answer to 0 decimal places, e.g. $1,500.) Number of shares to compute basic earnings per share Entry field with incorrect answer (

b) Determine the number of shares used to compute diluted earnings per share for the year ended December 31, 2018. (Round answer to 0 decimal places, e.g. $1,500.) Number of shares to compute diluted earnings per share Entry field with incorrect answer

(c) Compute the adjusted net income to be used as the numerator in the basic earnings per share calculation for the year ended December 31, 2018. Adjusted net income $ Entry field with incorrect answer

Answer 1

(a)	The number of shares used to compute basic earnings per share is 4,957,160, as calculated below.
		Dates	Shares		Fraction	Weighted
	Event	Outstanding	Outstanding	Restatement	of Year	Shares
	Beginning Balance, including 5% stock dividend
		Jan. 1–Apr. 1	2,079,000	2	3/12	1,039,500
	Conversion of preferred stock
		Apr. 1–July 1	2,537,640	2	3/12	1,268,820
	Stock split	July 1–Aug. 1	5,075,280		1/12	422,940
	Issued shares for building	Aug. 1–Nov. 1	5,351,280		3/12	1,337,820
	Purchase of Treasury stock	Nov. 1–Dec. 31	5,328,480		2/12	888,080
	Total number of common shares to compute basic earnings per share					4,957,160
(b)	The number of shares used to compute diluted earnings per share is 5,677,880, as shown below.
	Number of shares to compute
	basic earnings per share			4,957,160
	Convertible preferred stock—
	still outstanding (234,000 X 2 X 1.05)			491,400
	Convertible preferred stock—
	converted (436,800 X 2 X 1.05 X 3/12)			229,320
	Number of shares to compute diluted
	earnings per share			5,677,880
(c )	The adjusted net income to be used as the numerator in the basic earnings per share calculation for the year ended December 31, 2018, is $10,750,400, as computed below.
	After-tax net income				$ 11,780,000
	Preferred stock dividends
	March 31 (670,800 X $.75)			$      503,100
	June 30, September 30, and December 31
	(234,000 X $.75 X 3)			526,500	(1,029,600)
	Adjusted net income				$10,750,400